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                数量积                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><div>神犇heheda最近得到了UOJ抱枕，蒟蒻yts1999想要玩。于是heheda给yts1999出了一道题：</div>
<div>一个长度为2n+2的整数数列 按照下式定义：</div>
<div>A0=0</div>
<div>A1=C</div>
<div>Ai+2=(Ai+1+Ai) Mod M (0&lt;=i&lt;=2*N)</div>
<div>现有n个平面向量v1&hellip;vn：</div>
<div>V1=(A2,A3),V2=(A4,A5)...Vn=(A2n,A2n+1)</div>
<div>集合S的定义如下：</div>
<div>&nbsp;<img width="380" height="48" alt="" src="../file/4414_0.png" /></div>
<div>其中&quot;vi&bull;vj&quot;表示向量vi和vj的数量积。</div>
<div>求S集合中不同元素的个数是多少。答案对M取模。</div>
<div>heheda告诉yts1999，只要他做出了这道题，她就可以把抱枕借给他玩一会。然而yts1999实在是太弱了不会做，于是向你求助。</div>
<p></p></p><hr/><h3>输入格式</h3><p><div>输入数据包含一行三个整数C,M和n，分别表示a1的值，模数和平面向量的个数，每两个数之间用一个空格隔开。</div>
<p></p></p><hr/><h3>输出格式</h3><p><div>输出一行一个整数表示答案对M取模后的值。</div>
<p></p></p><hr/><h3>样例输入</h3><pre>4 5 3</pre><hr/><h3>样例输出</h3><pre>2</pre><hr/><h3>提示</h3><p><div>数列为{0,4,4,3,2,0,2,2}，v1=(4,3),v2=(2,0),v3=(2,2)。</div>
<div><span style="font-family: arial, verdana, helvetica, sans-serif; font-size: 18px; line-height: normal; background-color: rgb(228, 240, 248);">v1&bull;v2 mod M=3</span>, v2&bull;v3 mod M=4, v1&bull;v3 mod M=4。</div>
<div>对于100%的数据，1&le;C&le;10^9,1&le;M&le;10^9,1&le;n&le;3*10^5</div>
<div></div>
<p></p></p><hr/><h3>题目来源</h3><p>By yts1999</p>
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